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Finding the Fourth Proportional to 565.04, 780.44 and 399.98

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Solution

The fourth proportional to 565.04, 780.44 and 399.98 is: 552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.04 : 780.44 = 399.98 : x
  2. Step 2: Convert to fraction form
    565.04/780.44 = 399.98/x
  3. Step 3: Cross multiply
    565.04x = 780.44 × 399.98
  4. Step 4: Simplify right side
    565.04x = 312,160.34
  5. Step 5: Solve for x
    x = 312,160.34/565.04
  6. Step 6: Final answer
    x = 552.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.